Question

D = {[x, f(x)]: (-1, 3), (0, 2), (1, 3), (2, 6), (3, 11)}

Write the rule for f(x).

Answer 1

First assume its linear and work for y=m x+c
for first 2 points y= -x+2
when you went to the point 3 and 1 they must have the same value -1 and 1 and it can be by squaring them, so the answer is
\[X ^{2}+ 2\]